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Finding the Fourth Proportional to 328.86, 493.49 and 133.87

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Solution

The fourth proportional to 328.86, 493.49 and 133.87 is: 200.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    328.86 : 493.49 = 133.87 : x
  2. Step 2: Convert to fraction form
    328.86/493.49 = 133.87/x
  3. Step 3: Cross multiply
    328.86x = 493.49 × 133.87
  4. Step 4: Simplify right side
    328.86x = 66,062.84
  5. Step 5: Solve for x
    x = 66,062.84/328.86
  6. Step 6: Final answer
    x = 200.89

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.